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denis-greek [22]
3 years ago
11

Subtract the equations. 5x + 4y = 25 (5x +2y= 3)

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer: x=3 y=6

Step-by-step explanation:

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For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]
photoshop1234 [79]

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right] ≠ 0

Determinant of a 3x3 matrix is calculated by:

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]

8(1-\beta)-[2(2-2\beta)(1-\beta)]

8-8\beta-4+8\beta-4\beta^{2}

-4\beta^{2}+4\neq 0

\beta^{2}\neq 1

\beta \neq \sqrt{1}

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

7 0
3 years ago
Diane has $20 in a savings account that earns 5 % annually. How much will she earn in interest in 1 year?
natta225 [31]

Answer:

$21

Step-by-step explanation:

Given data

Principal= $20

Rate = 5%

time= 1 year

Required

The final amount A

Applying the simple interest formula

A= P(1+rt)

substitute

A=20(1+0.05*1)

A=20(1.05)

A=20*1.05

A=$21

Hence she will earn $21

8 0
3 years ago
Write the equation of a line that has a slope of -3 and goes through the point (5,7).
ss7ja [257]

Answer:

The equation of the line would be D) y - 7 = -3(x -5)

Step-by-step explanation:

In order to find this, we must first start with the base form of point-slope form.

y - y1 = m(x - x1)

Now we put the slope in for m and the point in for (x1, y1)

y - 7 = -3(x - 5)

6 0
3 years ago
Jillian needs to buy a new laptop for the school year. The list price for the laptop is $479.99. Is it a better
Galina-37 [17]

Answer:

$100 rebate

Step-by-step explanation:

$479.99-$100.00= $379.99 or $479.99-20% =$383.99 so the $100.00 rebate a better offer

4 0
3 years ago
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